Pith Number

pith:CYYI3EXQ

pith:2021:CYYI3EXQZEC7ZJSPVFROI3CWW7

not attested not anchored not stored refs pending

Topos and Stacks of Deep Neural Networks

Daniel Bennequin, Jean-Claude Belfiore

arxiv:2106.14587 v3 · 2021-06-28 · math.AT · cs.AI

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CYYI3EXQZEC7ZJSPVFROI3CWW7}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-07-05T04:32:11.078042Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

16308d92f0c905fca64fa962e46c56b7d00d9a57fbb895700866c0800360de0c

Aliases

arxiv: 2106.14587 · arxiv_version: 2106.14587v3 · doi: 10.48550/arxiv.2106.14587 · pith_short_12: CYYI3EXQZEC7 · pith_short_16: CYYI3EXQZEC7ZJSP · pith_short_8: CYYI3EXQ

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/CYYI3EXQZEC7ZJSPVFROI3CWW7 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 16308d92f0c905fca64fa962e46c56b7d00d9a57fbb895700866c0800360de0c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "06ec47536f8f02002d45c64d9e952c6b2183a7311edc24c66a9ca88b458060bb",
    "cross_cats_sorted": [
      "cs.AI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2021-06-28T11:50:06Z",
    "title_canon_sha256": "7057ddfd3c44abdbe7346c8190f25258610e38435b50e6aa9944c2ccf8cc223c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2106.14587",
    "kind": "arxiv",
    "version": 3
  }
}